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3 years ago

9

Assuming there are an equal amount of houses per street, if there are 18 houses on 3 streets, how many houses are there per stre

et?

1 answer:

N76 [4]3 years ago

3 0

Answer:

6

Step-by-step explanation:

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A rock climber's elevation above sea level changed −8212 feet in 214 minutes as she descended. What was the climber's average ch

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Elevation per minute

elevationchange=-8212
timechange=214

elevation per minute=-8212/214=
-8132/214-80/214=
-38-40/107=
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answer is -38 and 40/107 ft per minute

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3 years ago

Taleen has 8 stamps in her collection, and she decides that each month she will add 3 stamps to her collection.

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Answer:

1) The rate of change represents the number of stamps she adds each month.

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4) 8 stamps.

Step-by-step explanation:

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5 in<br> 9 in<br> 10 in<br> Surface Area =

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5*9*10= Surface Area

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3 years ago

What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)

zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

Integrals
Definite Integrals
Integration Constant C

Arc Length Formula [Parametric]: $\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

<u>Step 2: Find Arc Length</u>

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
Substitute in variables [Arc Length Formula - Parametric]: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx$
[Integrand] Simplify: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx$
[Integral] Evaluate: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}$

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

4 0

3 years ago